A string can withstand a force of 135 N before breaking. A 2.0 kg mass is tied to the string and whirled in a horizontal circle with a radius of 1.10 m. What is the maximum speed that the mass can be whirled at before
the string breaks?

The mass would have centripetal acceleration a given by

a = v ² / R

where

v = tangential speed of the mass

R = length of the string

By Newton's second law, a maximum tension of F = 135 N would apply an acceleration of

135 N = (2.0 kg) a   →   a = 67.5 m/s²

which requires a tangential speed v of

67.5 m/s² = v ² / (1.10 m)   →   v = √((67.5 m/s²) (1.10 m)) ≈ 8.62 m/s

note: the given question is incomplete.

complete question is given below.

which is an example of kinetic energy?

a. the energy stored in ethanol  

b. a hockey puck sliding across the ice  

c. a compressed spring  

d. a ball sitting at the top of a ramp

solution: the kinetic energy is the energy posses by the virtue of the motion of the object.

in the given options, a, c and d are the example of potential energy because it is the energy posses by the virtue of the rest of the object. but option b has the kinetic energy as the object is in motion.

hence, a hockey puck sliding across the ice   is the apex example of kinetic energy.

so, the option (b) a hockey puck sliding across the ice   is the correct option.